The Ernst equation and ergosurfaces

Details The Ernst equation and ergosurfaces The Ernst equation and ergosurfaces

2006-03-13

arxiv.org/abs/gr-qc/0603041v2

Class.Quant.Grav.23:4399-4414,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 4 figures; misprints corrected

Scientific paper

10.1088/0264-9381/23/13/007

We show that analytic solutions $\mcE$ of the Ernst equation with non-empty
zero-level-set of $\Re \mcE$ lead to smooth ergosurfaces in space-time. In
fact, the space-time metric is smooth near a "Ernst ergosurface" $E_f$ if and
only if $\mcE$ is smooth near $E_f$ and does not have zeros of infinite order
there.

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